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Solvable Nonlinear Evolution PDEs in Multidimensional Space

Nonlinear Sciences – Exactly Solvable and Integrable Systems
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Solvable vector nonlinear Riemann problems, exact implicit solutions of dispersionless PDEs and wave breaking

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Solving the Korteweg-de Vries Equation by Its Bilinear Form: Wronskian Solutions

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Some comments on the bi(tri)-Hamiltonian structure of Generalized AKNS and DNLS hierarchies

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Some eigenstates for a model associated with solutions of tetrahedron equation

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Some eigenstates for a model associated with solutions of tetrahedron equation. II. A bit of algebraization

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Some eigenstates for a model associated with solutions of tetrahedron equation. III. Tetrahedral Zamolodchikov algebras and perturbed strings

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Some eigenstates for a model associated with solutions of tetrahedron equation. IV. String-particle marriage

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Some eigenstates for a model associated with solutions of tetrahedron equation. V. Two cases of string superposition

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Some Examples of RS^2_3(3)-Transformations of Ranks 5 and 6 as the Higher Order Transformations for the Hypergeometric Function

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Some further curiosities from the world of integrable lattice systems and their discretizations

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Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations

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Some incidence theorems and integrable discrete equations

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Some kernels on a Riemann surface

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Some mathematical aspects in determining the 3D controlled solutions of the Gross-Pitaevskii equation

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Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators

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Some notes on elliptic equation method

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Some notes on Ishimori's magnet model

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Some properties of deformed Sine Gordon models

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Some Remarks on the KP System of the Camassa-Holm Hierarchy

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